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Finding the Third Proportional to 362.81 and 524.81

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Solution

The third proportional to 362.81 and 524.81 is: 759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.81 : 524.81 = 524.81 : x
  2. Step 2: Convert to fraction form
    362.81/524.81 = 524.81/x
  3. Step 3: Cross multiply
    362.81x = 524.81 × 524.81
  4. Step 4: Simplify right side
    362.81x = 275,428.16
  5. Step 5: Solve for x
    x = 275,428.16/362.81
  6. Step 6: Final answer
    x = 759.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.